TSTP Solution File: LCL668+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:58:37 EDT 2023
% Result : Theorem 1.01s 1.09s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 92 ( 5 unt; 29 typ; 0 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 154 ( 11 avg)
% Number of connectives : 1316 ( 652 ~; 591 |; 73 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 419 ( 0 sgn; 126 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p12: $i > $o ).
tff(decl_24,type,
p10: $i > $o ).
tff(decl_25,type,
p8: $i > $o ).
tff(decl_26,type,
p6: $i > $o ).
tff(decl_27,type,
p4: $i > $o ).
tff(decl_28,type,
p2: $i > $o ).
tff(decl_29,type,
p7: $i > $o ).
tff(decl_30,type,
p5: $i > $o ).
tff(decl_31,type,
p1: $i > $o ).
tff(decl_32,type,
p3: $i > $o ).
tff(decl_33,type,
esk1_0: $i ).
tff(decl_34,type,
esk2_0: $i ).
tff(decl_35,type,
esk3_0: $i ).
tff(decl_36,type,
esk4_0: $i ).
tff(decl_37,type,
esk5_0: $i ).
tff(decl_38,type,
esk6_0: $i ).
tff(decl_39,type,
esk7_0: $i ).
tff(decl_40,type,
esk8_0: $i ).
tff(decl_41,type,
esk9_1: $i > $i ).
tff(decl_42,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_0: $i ).
tff(decl_46,type,
esk14_0: $i ).
tff(decl_47,type,
esk15_0: $i ).
tff(decl_48,type,
esk16_0: $i ).
tff(decl_49,type,
esk17_0: $i ).
tff(decl_50,type,
esk18_0: $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p6(X1)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p6(X1)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_3,negated_conjecture,
! [X12,X13,X14,X15,X16,X17,X18,X19,X21,X22,X23,X24,X25,X26,X27,X29,X30,X31,X32,X33,X34,X36,X37,X38,X39,X40,X42,X43,X44,X45] :
( r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& r1(esk5_0,esk6_0)
& r1(esk6_0,esk7_0)
& ( p12(esk7_0)
| p10(esk7_0)
| p8(esk7_0)
| p6(esk7_0)
| p4(esk7_0)
| p2(esk7_0) )
& r1(esk1_0,esk8_0)
& ~ p7(esk8_0)
& ( p5(X19)
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(esk1_0,X12) )
& ( ~ p1(X19)
| ~ p5(X19)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(esk1_0,X12) )
& ( r1(X12,esk9_1(X12))
| ~ r1(esk1_0,X12) )
& ( ~ p6(esk9_1(X12))
| ~ r1(esk1_0,X12) )
& ( p4(X27)
| p5(X27)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p5(X27)
| ~ p4(X27)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( r1(X21,esk10_2(X12,X21))
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p5(esk10_2(X12,X21))
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( p3(X34)
| p4(X34)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p4(X34)
| ~ p3(X34)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( r1(X29,esk11_3(X12,X21,X29))
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p4(esk11_3(X12,X21,X29))
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( p2(X40)
| p3(X40)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p3(X40)
| ~ p2(X40)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( r1(X36,esk12_4(X12,X21,X29,X36))
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p3(esk12_4(X12,X21,X29,X36))
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( p1(X45)
| p2(X45)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X36,X42)
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& ( ~ p2(X45)
| ~ p1(X45)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X36,X42)
| ~ r1(X29,X36)
| ~ r1(X21,X29)
| ~ r1(X12,X21)
| ~ r1(esk1_0,X12) )
& r1(esk1_0,esk13_0)
& r1(esk13_0,esk14_0)
& r1(esk14_0,esk15_0)
& r1(esk15_0,esk16_0)
& r1(esk16_0,esk17_0)
& r1(esk17_0,esk18_0)
& ( ~ p6(esk18_0)
| ~ p5(esk18_0)
| ~ p4(esk18_0)
| ~ p3(esk18_0)
| ~ p2(esk18_0)
| ~ p1(esk18_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,negated_conjecture,
( ~ p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ p4(X1)
| ~ p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1)
| p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( p2(X1)
| p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( p4(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_32,negated_conjecture,
r1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_6]) ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_37,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_6]) ).
cnf(c_0_40,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_47,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_6]) ).
cnf(c_0_50,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_6]) ).
cnf(c_0_52,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_6]) ).
cnf(c_0_54,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_6]) ).
cnf(c_0_57,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_6]) ).
cnf(c_0_58,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( ~ p1(esk2_0)
| ~ p2(esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( ~ p3(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( ~ p5(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_32]) ).
cnf(c_0_62,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_52,c_0_53,c_0_54,c_0_55,c_0_56,c_0_57,c_0_58,c_0_59,c_0_60,c_0_61,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 20:25:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.01/1.09 % Version : CSE_E---1.5
% 1.01/1.09 % Problem : theBenchmark.p
% 1.01/1.09 % Proof found
% 1.01/1.09 % SZS status Theorem for theBenchmark.p
% 1.01/1.09 % SZS output start Proof
% See solution above
% 1.01/1.10 % Total time : 0.506000 s
% 1.01/1.10 % SZS output end Proof
% 1.01/1.10 % Total time : 0.509000 s
%------------------------------------------------------------------------------